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Finding the Fourth Proportional to 619.35, 928.66 and 290.16

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Solution

The fourth proportional to 619.35, 928.66 and 290.16 is: 435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.35 : 928.66 = 290.16 : x
  2. Step 2: Convert to fraction form
    619.35/928.66 = 290.16/x
  3. Step 3: Cross multiply
    619.35x = 928.66 × 290.16
  4. Step 4: Simplify right side
    619.35x = 269,459.99
  5. Step 5: Solve for x
    x = 269,459.99/619.35
  6. Step 6: Final answer
    x = 435.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.